Existence of weak solutions for a fractional Schrödinger equation

In this paper we are devoted to a time-independent fractional Schrödinger equation(-Δ)su+V(x)u=f(x,u)inRN,where N⩾2,s∈(0,1),(-Δ)s stands for the fractional Laplacian. By virtue of some nonlinear analysis techniques, the existence of weak solutions is obtained. The results here extend the existing study.